Question

Solve the following questions:
1. name the properties of multiplication used
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Answer 1

a) Commutative Property of Multiplication

b) Associative Property of Multiplication

c) Distributive Property of Multiplication over Addition

d) Inverse Property of Multiplication

e) Zero Property of Multiplication

Explanation:

The Commutative Property of Multiplication states that the order of factors in a multiplication operation can be rearranged without changing the end result.

• a × b = b × a

The Associative Property of Multiplication states that the grouping of factors in a multiplication operation by parentheses in a different way does not affect their product.

• (a × b) × c = a × (b × c) = (a × c) × b

The Distributive Property of Multiplication over Addition states that multiplying a number by the sum of two other numbers is equivalent to multiplying the number separately by each of the two numbers and then adding the results.

• a(b + c) = ab + ac

The Inverse Property of Multiplication states that if a number is multiplied by its reciprocal (multiplicative inverse), the product is always equal to 1.

• a × 1/a = 1

The Zero Property of Multiplication states that the product of any number and zero is always zero.

• a × 0 = 0